Self Similarity of Sousa Ramos’s Trees and Mira’s Boxes Within the Boxes

Baptista, Diogo; Fournier-Prunaret, Daniele; Grácio, Clara; Fernandes, Sara

http://hdl.handle.net/10400.8/14392

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Authors

Baptista, Diogo

Fournier-Prunaret, Daniele

Grácio, Clara

Fernandes, Sara

Abstract(s)

This work consists on the theory of embedded boxes structure [7], from the point of view of the theory of symbolic dynamics [6], tree structure Ramos [8], [9], [10] and star product [1] . This merger allowed the outcome-applications defined on the real line and a better understanding of the structure of the bifurcation, which allows us to characterize and understand the dynamics behind an application within the chaotic dynamical systems.

Description

This paper is dedicated to the memory of Professor José Sousa Ramos.

Keywords

discrete dynamical systems symbolic dynamics star-product Sousa Ramos's Trees

URI

http://hdl.handle.net/10400.8/14392

Citation

Baptista, Diogo & Fournier-Prunaret, Daniele & Gracio, Clara & Fernandes, Sara. (2015). Self Similarity of Sousa Ramos’s Trees and Mira’s Boxes Within the Boxes. Applied Mathematics & Information Sciences. 9. 2417-2428.